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A Consumer Has a Utility Function of the Form U(x

question 56

Essay

A consumer has a utility function of the form U(x, y)= x a + y b, where both a and b are nonnegative.What additional restrictions on the values of the parameters a and b are imposed by each of the following assumptions?
a.Preferences are quasilinear and convex, and x is a normal good.
b.Preferences are homothetic.
c.Preferences are homothetic and convex.
d.Goods x and y are perfect substitutes.


Definitions:

Capital Gain

The profit earned from the sale of an asset or investment when the selling price exceeds the purchase price.

Discount Bond

A bond that is sold for less than its face value, typically because the prevailing interest rates are higher than the bond's coupon rate.

Bond Contract

A legal document that outlines the terms of a bond issuance, including the interest rate, maturity date, and issuer's obligations.

Dividend Restriction Clause

A provision in a contract that limits or restricts the ability of a company to pay dividends to its shareholders.

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